arXiv Analytics

Sign in

arXiv:1607.03206 [math.PR]AbstractReferencesReviewsResources

A calculus proof of the Cramér-Wold theorem

Russell Lyons, Kevin Zumbrun

Published 2016-07-12Version 1

We present a short, elementary proof not involving Fourier transforms of the theorem of Cram\'er and Wold that a Borel probability measure is determined by its values on half-spaces.

Comments: 4 pages
Categories: math.PR
Subjects: 60E10, 44A12, 53C65
Related articles: Most relevant | Search more
arXiv:2206.13612 [math.PR] (Published 2022-06-27)
A Cramér-Wold theorem for elliptical distributions
arXiv:1809.00882 [math.PR] (Published 2018-09-04)
An elementary proof of de Finetti's Theorem
arXiv:1705.08046 [math.PR] (Published 2017-05-23)
An Elementary Proof for the Structure of Derivatives in Probability Measures

Links

Toolbox